{
  "id": "1803.05903",
  "version": "v1",
  "published": "2018-03-15T17:59:31.000Z",
  "updated": "2018-03-15T17:59:31.000Z",
  "title": "Local $β$-deformations and Yang-Baxter sigma model",
  "authors": [
    "Jun-ichi Sakamoto",
    "Yuho Sakatani"
  ],
  "comment": "92 pages",
  "categories": [
    "hep-th"
  ],
  "abstract": "Homogeneous Yang-Baxter (YB) deformation of AdS$_5\\times$S$^5$ superstring is revisited. We calculate the YB sigma model action up to quadratic order in fermions and show that it takes the form of the Green-Schwarz (GS) type IIB superstring action after suitable field redefinitions. Moreover, we show that homogeneous YB deformations are equivalent to $\\beta$-deformations of the AdS$_5\\times$S$^5$ background when the classical $r$-matrices consist of bosonic generators. In order to make our discussion clearer, we discuss YB deformations in terms of the double-vielbein formalism of double field theory. We further provide an O(10,10)-invariant string action that reproduces the GS type II superstring action up to quadratic order in fermions. When an AdS background contains a non-vanishing $H$-flux, it is not straightforward to perform homogeneous YB deformations. In order to get any hint for such YB deformations, we study $\\beta$-deformations of $H$-fluxed AdS backgrounds and obtain various solutions of (generalized) type II supergravity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-15T17:59:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "yang-baxter sigma model",
      "yb sigma model action",
      "quadratic order",
      "ads background contains",
      "perform homogeneous yb deformations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 92,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}